Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 07 May 2015, 02:20

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# S is the product of a list of consecutive integers from 1 to

Author Message
TAGS:
Intern
Joined: 11 May 2004
Posts: 49
Location: USA
Followers: 0

Kudos [?]: 3 [0], given: 0

S is the product of a list of consecutive integers from 1 to [#permalink]  15 Jun 2006, 14:20
S is the product of a list of consecutive integers from 1 to 24, and 10k is a factor of S. What is the largest k?

A. 1
B. 2
C. 3
D. 4
E. 5

VP
Joined: 02 Jun 2006
Posts: 1267
Followers: 2

Kudos [?]: 42 [0], given: 0

I am stumped... what is 10K? Is it 10xk or is k the unit's digit of the number 10k?

Do you mean 10^k

If it is 10^k, then the answer D makes sense and here's how.

S= 1x2x3x4x5....x24
= 2x5x10x15x20x (prod of the rest)
= 10 x 10 x 5x3 x 5x4 x P
= 10 x 10 x 10 x 10 x 3xP
= 10^4 xP'

Therefore k max value is 4.
Director
Joined: 16 Aug 2005
Posts: 947
Location: France
Followers: 1

Kudos [?]: 10 [0], given: 0

haas_mba07 wrote:
I am stumped... what is 10K? Is it 10xk or is k the unit's digit of the number 10k?

Do you mean 10^k

If it is 10^k, then the answer D makes sense and here's how.

S= 1x2x3x4x5....x24
= 2x5x10x15x20x (prod of the rest)
= 10 x 10 x 5x3 x 5x4 x P
= 10 x 10 x 10 x 10 x 3xP
= 10^4 xP'

Therefore k max value is 4.

Yea this approach is right, you just need to collect all the 2x5 and see how many 10s you get in the product
_________________

I believe its yogurt!

Director
Joined: 06 May 2006
Posts: 781
Followers: 3

Kudos [?]: 16 [0], given: 0

Yep. Assuming 10^k, answer is 4. Find the number of 5s.
Similar topics Replies Last post
Similar
Topics:
If twelve consecutive even integers are listed from least 1 12 Jun 2011, 18:57
From the list of 10 consecutive odd integers > 3 18 Aug 2009, 17:48
4 If the eleven consecutive integers are listed from least to 12 09 Jun 2009, 06:05
If eleven consecutive integers are listed from least to 8 02 Oct 2007, 12:33
S is the product of a list of consecutive integers from 1 to 8 31 May 2006, 05:40
Display posts from previous: Sort by